Self-accelerating and self-healing of Ince-Gaussian-like beams

The propagation of a new type of Ince-Gaussian-like beam along a predesigned parabolic trajectory in the free space is investigated numerically and experimentally. The Ince-Gaussian-like beam breaks the characteristic that the shape remains invariant during propagation and it obtains the property of self-focusing that the unmodulated Ince-Gaussian beam has not. The enhancement of the quadratic coefficients Omega of parabolic trajectories increases the focus times but shortens the focal depth. In addition, we also investigate the effect of the parameter of the ellipticity epsilon, which only affects the maximum intensity and the intensity distribution after the focusing. Furthermore, different modes, orders p and degrees m of the Ince-Gaussian-like beam also influence the propagation patterns. Moreover, we investigate the self-healing property of the IGLB by introducing a soft well function. We anticipate that our works have potential value in the laser energy focus and optical transport.

Automated summary

This study investigates the propagation of a new type of Ince-Gaussian-like beam along a predesigned parabolic trajectory in free space, revealing its self-focusing property and shape-changing characteristics, while also exploring the effects of parameters on propagation patterns.